Glass composition having high thermal and chemical stability

ABSTRACT

Described herein are alkali-free, boroalumino silicate glasses exhibiting desirable physical and chemical properties for use as substrates in flat panel display devices, such as, active matrix liquid crystal displays (AMLCDs) and active matrix organic light emitting diode displays (AMOLEDs). In accordance with certain of its aspects, the glasses possess good dimensional stability as a function of temperature.

CROSS-REFERENCE TO RELATED APPLICATIONS

This is a continuation application and claims the benefit of priority to U.S. application Ser. No. 13/980,780 filed on Jul. 19, 2013, which claims the benefit of priority to PCT Application No. PCT/US12/22519 filed Jan. 25, 2012, which claims the benefit of priority to U.S. Provisional Application Ser. No. 61/435,987 filed on Jan. 25, 2011, the content of which is hereby incorporated by reference.

BACKGROUND

The production of liquid crystal displays such as, for example, active matrix liquid crystal display devices (AMLCDs) is very complex, and the properties of the substrate glass are extremely important. First and foremost, the glass substrates used in the production of AMLCD devices need to have their physical dimensions tightly controlled. The downdraw sheet drawing processes and, in particular, the fusion process described in U.S. Pat. Nos. 3,338,696 and 3,682,609, both to Dockerty, are capable of producing glass sheets that can be used as substrates without requiring costly post-forming finishing operations such as lapping and polishing. Unfortunately, the fusion process places rather severe restrictions on the glass properties, which require relatively high liquidus viscosities.

In the liquid crystal display field, thin film transistors (TFTs) based on poly-crystalline silicon are preferred because of their ability to transport electrons more effectively. Poly-crystalline based silicon transistors (p-Si) are characterized as having a higher mobility than those based on amorphous-silicon based transistors (a-Si). This allows the manufacture of smaller and faster transistors. P-Si displays are at the core of state-of-the-art handheld devices. The p-Si thin film transistor array consumes very low power, permits very fine features (critical for small displays), and provides high brightness.

The process used to make p-Si TFTs invariably includes a thermal excursion to quite high temperature to encourage the silicon to crystallize. In some processes, temperature alone is used to produce crystallization, and in such processes the peak temperatures are very high, very typically greater than 650° C. compared to the 350° C. peak temperatures employed in the manufacture of a-Si transistors. At these temperatures, most AMLCD glass substrates undergo a process known as compaction and will deform excessively unless supported from below. Compaction, also referred to as thermal stability or dimensional change, is an irreversible dimensional change (shrinkage or expansion) in the glass substrate due to changes in the glass' fictive temperature. The magnitude of compaction depends both on the process by which a glass is made and the viscoelastic properties of the glass. In the float process for producing sheet products from glass, the glass sheet is cooled relatively slowly from the melt and, thus, “freezes in” a comparatively low temperature structure into the glass. The fusion process, by contrast, results in very rapid quenching of the glass sheet from the melt, and freezes in a comparatively high temperature structure. As a result, a glass produced by the float process possesses less compaction when compared to glass produced by the fusion process. In the glass product itself, the compaction ultimately may produce poor registry with the color filter and, if large enough, adversely affect device performance. Thus, it would be desirable to minimize the level of compaction in a glass substrate that is produced by a downdraw process. A commercial glass product, Jade® (Corning Incorporated, Corning N.Y.), was developed expressly to address this problem. It has a very high annealing point compared to conventional amorphous silicon substrate glasses, and thus shows low compaction even when reheated above the strain point of conventional amorphous silicon substrates.

While the Jade® product has proven sufficient for many p-Si processes, there is still a demand for even lower levels of compaction and/or the capability of withstanding heat treatments at even higher temperatures, sometimes in excess of 700° C. Annealed low annealing point p-Si substrate glasses can be optimized to provide these lower levels of compaction but their deformation at elevated temperature is only marginally improved with this increased anneal. The Jade® product has better deformation at elevated temperatures than annealed low annealing point glasses but has too much compaction for some applications and may need even more resistance to deformation under the extreme conditions of some newly developed cycles. In order to provide the desired lower compaction in existing processes as well as enabling the development of new higher temperature processes, a glass with an annealing point in excess of 785° C. is desired.

SUMMARY

In accordance with the purposes of the disclosed materials, compounds, compositions, articles, devices, and methods, as embodied and broadly described herein are alkali-free, boroalumino silicate glasses exhibiting desirable physical and chemical properties for use as substrates in flat panel display devices, such as, active matrix liquid crystal displays (AMLCDs) and active matrix organic light emitting diode displays (AMOLEDs). In accordance with certain of its aspects, the glasses possess good dimensional stability as a function of strain point. Specifically, the glasses described herein are fusion-compatible glasses with an anneal point in excess of 785° C., with a temperature at 200 poise of 1730° C. or less, with a density less than 2.65 g/cc, and with etch rates in fluoride-based mineral acids within 10% of the range exhibited by conventional a-Si substrate materials. Additional advantages will be set forth in part in the description that follows, and in part will be obvious from the description, or may be learned by practice of the aspects described below. The advantages described below will be realized and attained by means of the elements and combinations particularly pointed out in the appended claims. It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive.

BRIEF DESCRIPTION OF THE DRAWINGS

The accompanying figures, which are incorporated in and constitute a part of this specification, illustrate several aspects described below.

FIG. 1 is a comparison of the compaction of a glass typical of this invention with typical p-Si glasses.

FIG. 2 shows thermal sag (measured as “Deflection” in the y-axis) at 700° C. of commercially available p-Si glasses relative to glasses typical of this invention. It is clear the GBII glass has superior sag behavior at 700° C. than either other p-Si glass, thereby enabling higher temperature thermal cycles in customers' processes.

FIG. 3 illustrates the (SiO₂+Al₂O₃)/(1−B₂O₃/100) vs. (RO—Al₂O₃)/(1−B₂O₃/100), in mole- % for glasses of the present disclosure.

DETAILED DESCRIPTION

The materials, compounds, compositions, articles, devices, and methods described herein may be understood more readily by reference to the following detailed description of specific aspects of the disclosed subject matter and the Examples included therein and to the Figures.

Before the present materials, compounds, compositions, articles, devices, and methods are disclosed and described, it is to be understood that the aspects described below are not limited to specific synthetic methods or specific reagents, as such may, of course, vary. It is also to be understood that the terminology used herein is for the purpose of describing particular aspects only and is not intended to be limiting.

Also, throughout this specification, various publications are referenced. The disclosures of these publications in their entireties are hereby incorporated by reference into this application in order to more fully describe the state of the art to which the disclosed matter pertains. The references disclosed are also individually and specifically incorporated by reference herein for the material contained in them that is discussed in the sentence in which the reference is relied upon.

Throughout the description and claims of this specification the word “comprise” and other forms of the word, such as “comprising” and “comprises,” means including but not limited to, and is not intended to exclude, for example, other additives, components, integers, or steps.

Certain materials, compounds, compositions, and components disclosed herein can be obtained commercially or readily synthesized using techniques generally known to those of skill in the art. For example, the starting materials and reagents used in preparing the disclosed compounds and compositions are either available from commercial suppliers or prepared by methods known to those skilled in the art.

Also, disclosed herein are materials, compounds, compositions, and components that can be used for, can be used in conjunction with, can be used in preparation for, or are products of the disclosed methods and compositions. These and other materials are disclosed herein, and it is understood that when combinations, subsets, interactions, groups, etc. of these materials are disclosed that while specific reference of each various individual and collective combinations and permutation of these compounds may not be explicitly disclosed, each is specifically contemplated and described herein.

Reference will now be made in detail to specific aspects of the disclosed materials, compounds, compositions, articles, and methods, examples of which are illustrated in the accompanying Examples and Figures.

Described herein are alkali-free glasses and methods for making the same that possess high strain points and, thus, good dimensional stability (i.e., low compaction). A high strain point glass can prevent panel distortion due to compaction/shrinkage during thermal processing subsequent to manufacturing of the glass.

The compositions represented by ranges of the present disclosure comprise SiO₂, Al₂O₃, B₂O₃, MgO, CaO, SrO and BaO, and fining agents may include tin oxide (SnO₂), iron oxide (Fe₂O₃), cerium oxide (CeO₂) various halides (principally F, Cl and Br), As₂O₃ or Sb₂O₃. In one embodiment, the composition comprises an alkali-free glass comprising in mol percent on an oxide basis: 70≦SiO₂≦74.5 10.5≦Al₂O₃≦13.5 0≦B₂O₃≦2.5 3≦MgO≦7 3≦CaO≦7 0≦SrO≦4 1.5≦BaO≦6 0≦SnO₂≦0.3 0≦CeO₂≦0.3 0≦As₂O₃≦0.5 0≦Sb₂O₃≦0.5 0.01≦Fe₂O₃≦0.08 F+Cl+Br≦0.4 wherein

-   -   a) 1.05≦RO/Al₂O₃≦1.7     -   b) 0.2≦MgO/RO≦0.45         where Al₂O₃, MgO, CaO, SrO and BaO represent the mol percents of         the representative oxide components and RO=MgO+CaO+SrO+BaO. In         another embodiment, the MgO/RO: is 0.29≦MgO/(MgO+CaO+SrO+BaO)         ≦0.39.

In one embodiment, the compositions are further constrained as follows: (SiO₂+Al₂O₃)/(1−B₂O₃/100)=86.97−0.713*(MgO+CaO+SrO+BaO−Al₂O₃)/(1−B₂O₃/100)±0.8

In another embodiment, glasses within the disclosed ranges are substantially free of arsenic oxide (As₂O₃) or antimony oxide (Sb₂O₃) such that the concentration of either or both of these oxides is less than 0.05 wt %. When this is the case, it may be preferable to add other multivalent oxides such as SnO₂, Fe₂O₃ and/or CeO₂ to ensure a minimum number of gaseous inclusions in the final glass.

In one embodiment, the glasses of the present disclosure exhibit a density less than 2.65 g/cc. In another embodiment the glasses exhibit densities of less than 2.6 g/cc.

Compositions falling within the above defined ranges are shown in Table 1.

The temperature corresponding to 200 poise is often used as a rough guideline for the appropriate melting temperature of a glass. The 200 poise temperatures of the glasses in Table 1 are, for the most part, very high, generally greater than about 1670° C. A surprising result obtained for the inventive glasses is that at the low B₂O₃ contents of the inventive ranges, the melting rate of the most refractory batch materials, notably SiO₂ (or sand), is accelerated relative to glasses with higher B₂O₃ contents. Because of this, and because of the comparatively low resistivity of these glasses compared to glasses with higher B₂O₃ contents, when the inventive glasses are melted in a joule-boosted CU melter with a platinum finer and optical stirrer, excellent glass quality is obtained for melter temperatures anywhere between about 200 and 450 poise.

The temperature corresponding to 35,000 poise viscosity is regarded as a metric for the temperature at which glass is delivered to the trough of the isopipe. It is generally desirable that this temperature be as low as possible to minimize creep of the isopipe refractory over time. The inventive glasses generally have 35,000 poise temperatures between about 1280° C. and 1345° C., but at the high end of this range, it might be necessary to use a special refractory for the isopipe to obtain acceptable isopipe lifetime. Therefore, in one embodiment, the inventive glasses have 35,000 poise temperatures less than 1320° C., and in another embodiment, less than 1310° C.

Fusion-drawn glass has a high fictive temperature, and this results in a substantial disequilibrium of the glass structure when reheated to temperatures close to the annealing point. If as-drawn glass is to be used in a p-Si process, the only means to minimize compaction are to anneal the glass at a temperature close to the annealing point, and thereby partially or entirely structurally relax the glass, or to increase the anneal point of the glass such that the rate of structural relaxation is reduced, and the magnitude of structural relaxation in the p-Si process is minimized. Unfortunately, the annealing point required to produce low levels of compaction in p-Si processes depends upon the details of the process, and is difficult to predict without running glasses with a variety of annealing points through the thermal cycle of interest. In general, to provide a consistent product to customers with different p-Si processes, the best means to minimize compaction is to make the annealing point as high as reasonably achieved consistent with manufacturability and other customer-related constraints. The inventive glasses have annealing temperatures greater than about 790° C., greater than any commercially-available substrate for AMLCD applications, and thus are great enough to produce minimal compaction in p-Si processes. In another embodiment, the annealing temperature exceeds 800° C. In yet another embodiment the annealing temperature exceeds 810° C. In another embodiment the annealing temperature exceeds 815° C.

Each oxide constituent in the inventive glasses serves an important purpose. Silica, or SiO₂, is the primary glass forming oxide, and contributes viscosity to the molten glass. For a given liquidus temperature, increasing viscosity serves to increase liquidus viscosity, and thus to improve compatibility with the fusion process. However, if viscosity becomes too high, then melting-related defects such as fining bubbles may appear, and erosion of refractories and degradation of platinum may become too extreme to permit long-term manufacturing in a continuous process. Furthermore, as silica increases, the liquidus temperature may increase due to increasing stability of cristobalite, a crystalline polymorph of SiO₂ that is an undesirable devitrification phase in a continuous process. Compared to every oxide except boron oxide (B₂O₃), SiO₂ decreases density and coefficient of thermal expansion, and relative to B₂O₃ it improves durability. SiO₂ ranges between 70 and 74.5 mol % in the inventive glasses.

Aluminum oxide, or Al₂O₃, also serves as a glass former in the inventive glasses. Like SiO₂, it contributes viscosity, and when carefully balanced against SiO₂ concentration and the relative and absolute concentrations of alkaline earths, can be used to reduce liquidus temperature, thus enhancing liquidus viscosity. An increase in Al₂O₃ relative to every oxide except SiO₂ results in improved durability in the kinds of acid-based etchants commonly used to etch display glasses in amorphous-silicon-based etching processes. Like SiO₂, an increase in Al₂O₃ relative to the alkaline earths generally results in decreased density, decreased coefficient of thermal expansion, and improved durability. Of particular importance, increasing Al₂O₃ at the expense of any component save SiO₂ will generally increase the anneal point, and thus a minimum amount of Al₂O₃ is required to obtain the high anneal points required for the p-Si application. Because of the need to balance Al₂O₃ against other oxides, the full range of Al₂O₃ content of the inventive glasses is between 10.5 and 13.5 mol %.

Boron oxide, or B₂O₃, is also a glass-forming oxide, and is used to reduce viscosity and, more importantly, to reduce liquidus temperature. In general, an increase in B₂O₃ of 1 mol % decreases the temperature at equivalent viscosity by 10-14° C., depending on the details of the glass composition and the viscosity in question. However, B₂O₃ can lower liquidus temperature by 18-22° C. per mol %, and thus has the effect of decreasing liquidus temperature more rapidly than it decreases viscosity, thereby increasing liquidus viscosity. As one moves to extremely low B₂O₃ contents, keeping all other oxides within their respective ranges, it generally becomes increasingly difficult to obtain a liquidus viscosity as high as 130 kpoise, or more preferably greater than 170 kpoise, a prerequisite for compatibility with the fusion process as practiced today. If one were to increase boron oxide concentration at the expense of other glass components, CTE and density will generally decrease, but anneal point will decrease sharply, by as much as 14° C. per mol %, which is highly detrimental for p-Si substrate applications. On the other hand, relative to the other components that can reduce viscosity, principally the alkaline earth oxides, increasing boron oxide actually improves durability in fluoride-containing acids, making the glass more compatible with etching processes designed for amorphous silicon substrate glasses. For these reasons, B₂O₃ is preferably kept between 0 and 2.5 mol %. In one embodiment, the glass is essentially free of B₂O₃.

A surprising discovery is that glasses with comparatively low liquidus temperatures—and hence high liquidus viscosities—can be obtained in boron-free glasses. As noted above, boron oxide decreases liquidus temperature more rapidly than it decreases viscosity, so in general additions of B₂O₃ improve liquidus viscosity. Furthermore, boron tends to reduce the composition dependence of liquidus temperature, such that a change in the relative concentration of a particular oxide in a boron-free glass will tend to cause a larger change to liquidus temperature than a change in a boron-containing glass. The unexpected result described herein is that for a narrow range of oxides other than B₂O₃, low liquidus temperatures can be obtained, and as these glasses are very viscous for reasons stated above, the corresponding liquidus viscosities can be very high and appropriate for the fusion process. For example, the liquidus viscosities of the glasses in Table 1 are about 130,000 poise or more, thus making them compatible with the fusion process. In addition, the fusion process operates over a particular range of viscosity: glass is delivered to the trough of the isopipe at a viscosity corresponding to 20,000-35,000 poise, and glass leaves the root of the isopipe in the form of a viscous ribbon at a viscosity corresponding to 100,000 poise or more. At the very high delivery temperatures of the inventive glasses, the rate of radiative heat loss is greater per unit area than for less viscous glasses simply because a substantial fraction of the black body radiation of the glass is at visible and near-infrared wavelengths, at which wavelengths the glass is substantially transparent. Therefore, practical implementation of the inventive glasses in the fusion process may require high liquidus viscosities compared to those that might otherwise work for amorphous silicon substrate glasses. Thus, in one embodiment, the glass composition has a liquidus viscosity of at least 170,000 poise.

Alkaline earth oxides, MgO, CaO, SrO and BaO, are essential constituents for manufacturing. Like B₂O₃, increasing alkaline earths relative to SiO₂ or Al₂O₃ always decreases the viscosity of a glass melt at fixed temperature. Since high temperature is the main factor limiting the lifetimes of glass tanks and forming equipment, it is always desirable to reduce melting and forming temperatures as much as possible consistent with delivering an appropriate suite of glass properties to a customer. Unlike SiO₂, Al₂O₃ and B₂O₃, increases in alkaline earths relative to the glass forming components generally degrade properties that are important for p-Si applications: CTE and density generally increase as alkaline earth oxides increase relative to SiO₂, Al₂O₃ and B₂O₃, anneal point generally decreases, and durability moves increasingly far from standard amorphous silicon substrate glasses. The only final glass properties that benefits from higher alkaline earth concentration is Young's modulus, and for some combinations of alkaline earth increases, specific modulus. Young's modulus determines the stiffness of a sheet of glass, and thus making it as high as possible is valuable for glass handling. At fixed temperature, the sag of a sheet of glass with widely spaced supports beneath it is dictated by the specific modulus, or the ratio of Young's modulus and density. High alkaline earth concentrations generally increase density, and so work against the expected increase in Young's modulus. However, MgO and CaO increase density much more slowly than the large alkaline earths, Sr and Ba, and thus the relative proportions of the alkaline earths can be manipulated to obtain an optimal combination of Young's modulus and density, consistent with fusion compatibility. In one embodiment, the specific modulus is greater than 30 GPa cm³/gm. In another emdodiment, the specific modulus is greater than 31 GPa cm³/gm. In yet another embodiment, the specific modulus is greater than 31.5 GPa cm³/gm.

Mixtures of alkaline earths are also required to obtain low liquidus temperatures. The reasons behind this are complex. Without wishing to be bound by theory, the inventive ranges for the various alkaline earths have the effect of putting two or more crystalline phases on the liquidus for most glasses within the inventive ranges, one of which is cristobalite (SiO₂), and one of which is an alkaline earth aluminosilicate. In barium-rich glasses, the alkaline earth aluminosilicate is often hexacelsian and solid solutions therein, expressed approximately as Ba_(1-x-y),Sr_(x),Ca_(y)Mg_(z)Al_(2-z)Si_(2+z)O₈, where x, y and z are generally less than 0.5. In glasses with low barium concentrations, and thus correspondingly high CaO+SrO concentrations, the alkaline earth aluminosilicate is often anorthite or solid solutions therein, expressed approximately as Ca_(1-x-y),Sr_(x)Ba_(y)Al₂Si₂O₈. For Mg-rich compositions, the liquidus phase is sometimes cordierite or solid solutions therein, approximately Mg₂Al₄Si₅O₁₈. The best liquidus temperatures are generally obtained when two or more different aluminosilicate phases and cristobalite are on or close to the liquidus temperature. The relative competition of each phase for glass constituents has the effect of destabilizing other phases, and thus reduces not only the liquidus temperature, but the tendency to devitrify when undercooled in a manufacturing process.

At a fixed level of alkaline earth oxides, melting and forming temperatures are generally reduced when Ba, Sr or Ca is replaced with Mg. This is particularly important when (MgO+CaO+SrO+BaO)/Al₂O₃ (also referred to as RO/Al₂O₃) is close to 1.0, as their high melt temperatures may make them almost impossible to melt. However, MgO is a participant in hexacelsian and cordierite, and at low (MgO+CaO+SrO+BaO)/Al₂O₃ may stabilize mullite. Therefore, MgO needs to be confined to a narrow range of the total alkaline earth oxide concentration to obtain the best balance of viscosity and liquidus temperature: the molar ratio MgO/(MgO+CaO+SrO+BaO) is preferably kept in the range 0.2 to 0.45. In another embodiment this molar ratio is kept in the range of 0.29 to 0.39. In yet another embodiment, this molar ratio is kept in the range of 0.31 to 0.35.

The alkaline earth oxide with the greatest beneficial impact on liquidus temperature is barium oxide, BaO. Unfortunately, it also has the effect of increasing melting and delivery temperatures when substituted for any other alkaline earth oxide, and compromises final glass properties such as density, CTE and anneal point more so than any other alkaline earth oxide. Strontium oxide, SrO, can be increased at the expense of barium to offset some of these deleterious effects, but with much diminished benefit to liquidus temperature. Because hexacelsian is substantially a barium-strontium aluminosilicate, with comparatively low CaO and BaO, it is generally desirable to have CaO concentrations comparable to the combined concentration of BaO+SrO. As a result of these considerations, the inventive glass will have BaO between 1.5 and 6 mol %, SrO between 0 and 4 mol %, and CaO between 3 and 7 mol %. Compositions within these limits have attractive physical properties and liquidus viscosities suitable for down draw processes such as the fusion process.

Even if the melting temperature is comparatively low, the details of the melting equipment may make it difficult to clear gaseous inclusions from a glass melt. Those that remain appear as defects in the final ware. P-Si TFT manufacturers are extremely sensitive to defects that distort the surface of a sheet of glass, and since one cannot predict where a gaseous inclusion will end up relative to the surface of a sheet, gaseous inclusions must be avoided at all cost. Furthermore, for processing simplicity, TFT manufacturers often seek to have color filter glass made from the same substrate material used in the TFT manufacturing process, in which case gaseous inclusions can block pixels, thereby compromising performance of the entire device. To clear gaseous defects from the glass melt before it is made into sheet, it is conventional to add fining agents Fining agents are multivalent cations or halides that release gas at high temperature. Exemplary multivalent fining agents include, but are not limited to, As₂O₃, Sb₂O₃, SnO₂, and Fe₂O₃. Waste streams containing arsenic and antimony are considered hazardous materials in some countries, and for this reason is may be desirable to limit their concentrations in the inventive glass. In a preferred embodiment of the inventive glasses, As₂O₃, Sb₂O₃, or combinations thereof are kept at a level of 500 ppm (0.05 wt %) or less.

Halogens that find use as fining agents include F, Cl and Br. Waste streams that contain halogens may also be regarded as hazardous materials in some countries, and their release during melting processes can cause excessive corrosion of steel ductwork and supports. On the other hand, melt systems can be designed to safely handle off-gas of halogens, and various choices of raw materials can be used to influence their retention in the final glass. Halogens are typically added as stable salts, which may include, but are not limited to, simple salts and hydrated salts of the alkaline earths or aluminum, such as MgF₂, CaF₂, SrF₂, BaF₂, MgCl₂, CaCl₂, SrCl₂, BaCl₂, MgCl₂.4H₂O, CaCl₂.4H₂O, SrCl₂.4H₂O, BaCl₂.4H₂O, MgBr₂, CaBr₂, SrBr₂, BaBr₂, MgBr₂.4H₂O, CaBr₂.4H₂O, SrBr₂.4H₂O, BaBr₂.4H₂O, AlCl₃, AlCl₃.6H₂O, and other forms familiar to those skilled in the art of raw material selection. Fining is generally optimized at a relatively low level of halogen addition, and thus the inventive glasses have F+Cl+Br concentrations between 0 and 0.4 mol %. In a preferred embodiment, F+Cl+Br is less than 200 ppm, or 0.02 wt %.

FIG. 1 demonstrates a comparison of a glass typical of this invention (X) with typical p-Si glasses. Compaction is measured relative to a base composition 1 in both an internal compaction measurement and in a display manufacturing cycle, where 50% of 1 is considered an acceptable level of compaction and less than 25% of 1 is preferable. Glasses 1, 2, and 3 have been put through the display manufacturing process as well as our the inventor's simulated internal tests and are included to demonstrate the transparency of the internal simulation with actual display maker's feedback. Glass 4 is Corning's Jade® composition and Glass 5 is a typical annealed p-Si composition, both showing acceptable levels of compaction. Glass 6 is a “more annealed” p-Si glass demonstrating lower compaction relative to the “typical” Glass 5. It is clear that the glasses in this invention (typified by glass X) have comparable, if not superior, compaction performance than either annealed p-Si glass and clearly superior compaction relative to Jade®.

FIG. 2 demonstrates thermal sag (measured as “Deflection” in the y-axis) at 700° C. of typical p-Si glasses (Glass 6 and Jade®) relative to glasses typical of this invention (“X”). It is clear the X glass has superior sag behavior at 700° C. than either other p-Si glass, thereby enabling higher temperature thermal cycles for use in a display manufacturer's process.

FIG. 3 demonstrates an interesting relationship that was observed with respect to the ratio of the SiO₂+Al₂O₃ content to 1−B₂O₃ content and the RO— Al₂O₃ content. Many of the advantageous compositions of the present invention were located on the line y=0.7132×+86.965, as demonstrated graphically in FIG. 3. Put another way, in one embodiment, the glasses of the present invention fall within the following relationship: (SiO₂+Al₂O₃)/(1−B₂O₃/100)=86.97−0.713*(MgO+CaO+SrO+BaO−Al₂O₃)/(1−B₂O₃/100)±0.8.

EXAMPLES

The following examples are set forth below to illustrate the methods and results according to the disclosed subject matter. These examples are not intended to be inclusive of all aspects of the subject matter disclosed herein, but rather to illustrate representative methods and results. These examples are not intended to exclude equivalents and variations of the present invention which are apparent to one skilled in the art.

Efforts have been made to ensure accuracy with respect to numbers (e.g., amounts, temperature, etc.) but some errors and deviations should be accounted for. Unless indicated otherwise, parts are parts by weight, temperature is in ° C. or is at ambient temperature, and pressure is at or near atmospheric. There are numerous variations and combinations of reaction conditions, e.g., component concentrations, temperatures, pressures and other reaction ranges and conditions that can be used to optimize the product purity and yield obtained from the described process. Only reasonable and routine experimentation will be required to optimize such process conditions.

Table 1 shows an example of an exemplary inventive glass composition based from to Example 16 in Table 2, and a particular selection of raw materials for making it. As is known to those skilled in the art of glass manufacture, the particular choice of raw materials does not impact the final glass composition as the original raw materials are transformed into a single, uniform glass by the melting process. However, the actual choice of raw materials may be different than indicated in light of the particular requirements imposed by the limitations of a particular melting system, or by the cost of the raw materials, or both.

The primary source of SiO₂ is sand. The sand can be obtained from one or more of a variety of sources, including sand deposits (beaches or dunes), sandstone, quartzite, or other sources known to those skilled in the art of raw material selection. Sand is often the primary source of alkali contamination in what would otherwise be alkali-free glasses, and therefore a careful selection of source material may be important to minimize this important contaminant. The size of the sand particles may influence the rate of melting, and in particular large sand grains may fail to melt completely, appearing in the wear as a knot or stone. To avoid this, it is generally preferable for more than 90% of all sand grains to pass through a standard #80 U.S. standard mesh size. Alumina itself is generally the least expensive raw material to add Al₂O₃ to a glass, but other materials such as the aluminosilicate kaolin or hydrous forms of alumina or polymorphs of Al₂O₃ can be used instead when raw material costs are less important.

While Example 16 does not intentionally contain B₂O₃, other examples do. B₂O₃ can be batched as boric anhydride (approximately 94+% B₂O₃, the balance being mostly H₂O) or boric acid, approximately B(OH)₃.

MgO is generally added as its oxide, while the other alkaline earths are typically batched as carbonates. Suitable carbonate sources for CaO include limestone and precipitated calcium carbonate (a refined limestone product). MgO can be batched with CaO in the form of dolomite, though this may also increase the amount of iron in the glass, and so may be undesirable as compared to a more predictable pure iron source. Most of the strontium and barium will generally be added as carbonates obtained by industrial chemical processes. However, to keep the batch adequately oxidized, it is generally desirable to include a nitrate source as well. Strontium nitrate is indicated in the batch, but barium nitrate will work just as well. In both cases, it is generally desirable to batch no more than about 1 mol % of the alkaline earth oxide as nitrates to reduce NO_(x) emissions, but in other ways nitrates may assist melting, so the exact amount that will work best is generally the subject of trial-and-error investigation.

SnO₂ is included in its usual role as a fining agent. More SnO₂ generally equates to improved fining capacity, but as it is a comparatively expensive raw material, it is desirable to add no more than is required to drive gaseous inclusions to an appropriately low level. The SnO₂ level of the inventive glass is preferably between 0.02 and 0.3 mol %.

A low amount of ZrO₂ (zirconia) is included in this example. It serves no practical role in the melting or fining behavior of the glass, and imparts no interesting properties at such a low level. It is useful to include it in a laboratory-scale batch, however, because it will be introduced by contact of hot glass with zirconia-based refractory materials in the melter, and thus monitoring its level in the glass may be important to judging the rate of tank wear over time. A typical amount of ZrO in the final glass of one embodiment is less than 0.05 mol %. In another embodiment, the amount of ZrO is less than 500 ppm.

The batch shows a low level of iron. Some iron is all but unavoidable due to contamination introduced by raw materials, especially sand and typical sources of MgO. Iron may also be added to benefit fining, hydrogen permeation, or both. If deliberately added, iron oxalate is a particularly useful raw material, but other compounds of iron can be employed as well. Iron can impart color to the glass if it becomes too oxidized, and so the level of iron is preferably between 0.01 and 0.08 mol % to obtain the best balance between gaseous inclusion management and excessive color.

A significant amount of water accompanies boric acid and sand, and a significant amount of carbon dioxide accompanies the carbonate raw materials. CO₂ is sparingly soluble in glass, so most of it is lost in the earliest stages of melting, and that which is trapped in gaseous inclusions is generally moved by action of the fining agent, e.g., SnO₂ in the present example. A significant level of water may be retained in the glass, however, in the form of dissolved OH⁻ ions. This results in a measurable OH⁻ vibrational band near 3600 cm⁻¹ in the near infrared. The intensity of this band above background through a 1 mm thick path length is referred to as β_(OH). It generally ranges from as low as 0.2 to as high as 0.7 in conventional amorphous silicon substrate glasses. Dissolved OH⁻ has a large impact on the annealing point for alkali-free glasses, and therefore it is desirable to keep OH⁻ as low as reasonably achievable for any given glass. Conventional electric-boost melters generally employ burners above the glass surface that generate a high water partial pressure and result in higher levels of water incorporation into the glass. Halides can be used to reduce the retained water level, and boosting the power delivered via electrodes and reducing the power delivered via burners can also help. Likewise, selecting a comparatively dry sand can produce enough of a change in dissolved OH⁻ to significantly impact annealing point. β_(OH) for the inventive glass is less than 0.55, in one embodiment, less than 0.5 in another embodiment, and less than 0.45 in yet another embodiment to maximize the annealing point of the final glass.

While the actual composition and the choice of raw materials in this example is quite specific, it will be obvious to one skilled in the art that alternative raw materials can be used to obtain the same final glass composition, and thus a particular set of raw materials must be selected so as to be best suited for a given melting/fining/forming process. Any other set of raw materials that results in an equivalent composition will therefore produce a glass that satisfies the basic requirement of high annealing point, low density, low CTE, and high durability required for low-temperature polysilicon applications.

Further and although the intended use for the disclosed glasses is in p-Si applications, it should be noted that the glasses may also be considered for a-Si, color filter substrate or other applications where the disclosed properties may be deemed advantageous.

TABLE 1 mol % batch weight (g) SiO₂ sand 71.86 596.99 Al₂O₃ alumina 11.72 174.35 MgO magnesia 5.17 30.36 CaO limestone 5.59 84.65 SrO strontium carbonate 1.42 28.45 BaO barium carbonate 4.05 119.78 SnO₂ tin (IV) oxide, 10% C.B. 0.15 33 Fe₂O₃ iron oxalate 10% C.B. 0.02 5.349 ZrO₂ zirconium oxide 20% C.B. 0.02 2.02

Example Preparation of a Test Sample

TABLE 2 sets forth exemplary glass compositions in mol percent, as calculated on an oxide basis from the glass batches. These example glasses were prepared by melting 1,000-25,000 gram batches of each glass composition at a temperature and time to result in a relatively homogeneous glass composition, e.g. at a temperature of about 1625° C. for a period of about 4-16 hours in platinum crucibles. Also set forth are relevant glass properties for each glass composition, determined on the glasses in accordance with techniques conventional in the glass art. Thus, the linear coefficient of thermal expansion (CTE) over the temperature range 0-300° C. is expressed in terms of ×10⁻⁷/° C., the softening point (Soft. Pt.), and the annealing point (Ann Pt.), and strain point (Str. Pt.) are expressed in terms of ° C. These were determined from fiber elongation techniques (ASTM references E228-85, C338, and C336, respectively). The density (Den.), in terms of g/cm³, was measured via the Archimedes method (ASTM C693).

The 200 poise temperature (Melt. Temp., ° C.) (defined as the temperature at which the glass melt demonstrates a viscosity of 200 poises [20 Pa.s]) was calculated employing the Fulcher equation fit to the high temperature viscosity data (measure via rotating cylinders viscometry, ASTM C965-81). The liquidus temperature (Liq. Temp.) of the glass was measured using the standard liquidus method. This involves placing crushed glass particles in a platinum boat, placing the boat in a furnace having a region of gradient temperatures, heating the boat in an appropriate temperature region for 24 hours, and determining by means of microscopic examination the highest temperature at which crystals appear in the interior of the glass. The liquidus viscosity (Liq. Visc., in poises) was determined from this temperature and the coefficients of the Fulcher equation.

The remainder of properties listed in Table 2 are achieved through standard tests that are well known to those of skill in the industry.

TABLE 2 Example 1 2 3 4 5 6 7 SiO₂ 70.75 72.33 72.19 71.68 73.11 71.75 71.99 Al₂O₃ 11.96 11.85 11.36 11.46 11.6 12.17 11.59 B₂O₃ 1.23 0 1.55 1.6 0 0 0 MgO 5.88 4.92 4.73 4.44 4.81 5.93 5.51 CaO 5.3 5.16 5.22 5.37 5.19 5.28 5.41 SrO 2.04 3.11 1.87 2.44 1.35 2.1 1.18 BaO 2.68 2.46 2.95 2.81 3.81 2.61 4.16 SnO₂ 0.11 0.12 0.12 0.15 0.12 0.11 0.11 Fe₂O₃ 0.02 0.02 0.01 0.02 0.01 0.02 0.03 ZrO₂ 0.02 0.02 0 0.02 0 0.03 0.02 RO/Al₂O₃ 1.33 1.32 1.3 1.31 1.31 1.31 1.4 (RO − Al₂O₃)/(1 − B₂O₃/100) 3.99 3.8 3.46 3.66 3.56 3.75 4.67 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 83.74 84.18 84.87 84.49 84.71 83.92 83.58 MgO/(MgO + CaO + SrO + BaO) 0.37 0.31 0.32 0.29 0.32 0.37 0.34 Properties 1 2 3 4 5 6 7 Strain 740 761 742 740 765 764 759 Anneal 793 818 797 794 820 817 813 Soft (ppv) 1030.1 1059.5 1043.6 1042.5 1052.8 1052.3 CTE (disk) 36.2 36.1 35.6 35.3 36.7 35.9 36.4 Density 2.595 2.604 2.575 2.586 2.611 2.601 2.629 Young's modulus 12.178 12.187 11.904 11.92 12.076 12.371 12.12 specific modulus 32.4 32.3 31.9 31.8 31.9 32.8 31.8 Viscosity 1 2 3 4 5 6 7 A −3.039 −3.318 −3.089 −2.936 −3.179 −2.77 −3.281 B 6851.7 7509.3 7314.4 6813.9 7321.7 6440.1 7682.3 To 380.6 364.2 347 391.5 376.7 423.8 329.9 200 poise 1664 1701 1704 1693 1713 1694 1706 400 poise 1595 1633 1632 1622 1643 1623 1636 35000 poise 1284 1319 1305 1302 1325 1304 1312 Gradient boat 1 2 3 4 5 6 7 internal 1210 1240 1225 1210 1250 1220 1220 internal viscosity 166737 180392.2 174482.4 244828.8 160304.6 208231.1 223783.5 T(35 kp) - T(liq) 74 79 80 92 75 84 92 mol % Example 8 9 10 11 12 13 SiO₂ 71.21 72.48 71.79 71.33 71.33 73.59 Al₂O₃ 11.59 11.73 12.61 11.49 11.58 11.37 B₂O₃ 1.19 0 1.72 1.29 1.53 0 MgO 5.32 4.95 3.94 5.21 4.65 4.73 CaO 5.36 5.53 5.03 5.33 5.79 5.11 SrO 1.4 1.82 1.21 1.28 1.69 1.32 BaO 3.78 3.31 3.54 3.91 3.24 3.74 SnO₂ 0.11 0.14 0.12 0.11 0.15 0.12 Fe₂O₃ 0.02 0.02 0.01 0.02 0.02 0.01 ZrO₂ 0.02 0.02 0.02 0.02 0.02 0 RO/Al₂O₃ 1.37 1.33 1.09 1.37 1.33 1.31 (RO − Al₂O₃)/(1 − B₂O₃/100) 4.32 3.88 1.13 4.3 3.85 3.53 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 83.8 84.21 85.88 83.9 84.2 84.96 MgO/(MgO + CaO + SrO + BaO) 0.34 0.32 0.29 0.33 0.3 0.32 Properties 8 9 10 11 12 13 Strain 744 764 752 745 738 765 Anneal 797 818 806 798 794 821 Soft (ppv) 1038.6 1058 1035.1 1037.3 1073.1 CTE (disk) 36.5 35.5 33.8 36.8 35.9 Density 2.612 2.611 2.612 2.594 2.592 Young's modulus 12.083 12.086 12.003 11.932 12.011 specific modulus 31.9 31.9 31.7 31.7 31.9 Viscosity 8 9 10 11 12 13 A −3.058 −2.963 −2.9388 −3.267 −3.416 -3.229 B 7027.4 6997.2 6854.51 7471.1 7756.7 7499 To 369.3 384.4 397.06 338.2 326.9 368.2 200 poise 1681 1714 1705 1680 1684 1724 400 poise 1611 1642 1634 1611 1616 1654 35000 poise 1294 1316 1313 1295 1301 1333 Gradient boat 8 9 10 11 12 13 internal 1190 1205 1185 1185 1200 1250 internal viscosity 319661.5 366379.8 576075.1 359537.7 293826.6 188449.9 T(35 kp) - T(liq) 104 111 128 110 101 83 Example 14 15 16 17 18 19 SiO₂ 72.27 73.26 71.86 72.08 72.09 72.78 Al₂O₃ 11.9 11.09 11.72 11.76 12.05 11.39 B₂O₃ 0 1 0 0 0 0 MgO 4.92 4.61 5.17 5.34 5.4 4.91 CaO 6.16 4.98 5.59 5.44 5.38 5.44 SrO 2.13 1.29 1.42 1.6 2.03 1.68 BaO 2.46 3.63 4.05 3.62 2.93 3.65 SnO₂ 0.12 0.12 0.15 0.11 0.1 0.11 Fe₂O₃ 0.02 0.01 0.02 0.02 0.01 0.02 ZrO₂ 0.02 0 0.02 0.02 0.02 0.02 RO/Al₂O₃ 1.32 1.31 1.38 1.36 1.31 1.38 (RO − Al₂O₃)/(1 − B₂O₃/100) 3.77 3.45 4.51 4.24 3.69 4.29 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 84.17 85.2 83.58 83.84 84.14 84.17 MgO/(MgO + CaO + SrO + BaO) 0.31 0.32 0.32 0.33 0.34 0.31 Properties 14 15 16 17 18 19 Strain 765 749 760 759 762 762 Anneal 818 806 814 813 816 815 Soft (ppv) 1055.3 1059.6 1052.2 1051.4 1050 1056.8 CTE (disk) 35.9 35.8 37.3 36.1 37.1 37.2 Density 2.591 2.572 2.632 2.619 2.603 2.616 Young's modulus 12.228 11.769 12.158 specific modulus 32.5 31.5 0 32 0 Viscosity 14 15 16 17 18 19 A −3.143 −3.447 −3.156 −3.201 −3.227 −2.954 B 7180.4 8201 7237.7 7221.9 7345.25 7021.4 To 381.1 290.5 370.5 379.5 368.95 385.6 200 poise 1700 1717 1697 1692 1698 1722 400 poise 1631 1646 1627 1624 1629 1649 35000 poise 1315 1317 1310 1312 1314 1322 Gradient boat 14 15 16 17 18 19 internal 1240 1245 1195 1200 1225 1230 internal viscosity 164814.5 139615.3 419073.2 398867 225630.8 229748.9 T(35 kp) - T(liq) 75 72 115 112 89 92 Example 20 21 22 23 24 25 SiO₂ 72.19 71.45 73.18 72.39 72.65 71.59 Al₂O₃ 12.2 12.05 11.95 11.74 11.72 11.73 B₂O₃ 1 1.25 0.5 0 0 1.65 MgO 4.61 4.9 4.56 5.14 4.86 4.75 CaO 4.9 5.5 4.88 5.34 5.59 5.5 SrO 1.3 1.55 1.24 1.22 2.58 2 BaO 3.6 3.15 3.54 4.02 2.43 2.65 SnO₂ 0.16 0.12 0.13 0.11 0.12 0.12 Fe₂O₃ 0.02 0.03 0.02 0.01 0.02 0.01 ZrO₂ 0.02 0 0 0.02 0.03 0 RO/Al₂O₃ 1.18 1.25 1.19 1.34 1.32 1.27 (RO − Al₂O₃)/(1 − B₂O₃/100) 2.23 3.09 2.28 3.98 3.74 3.22 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 85.24 84.56 85.56 84.13 84.37 84.72 MgO/(MgO + CaO + SrO + BaO) 0.32 0.32 0.32 0.33 0.31 0.32 Properties 20 21 22 23 24 25 Strain 752 738 767 761 765 743 Anneal 807 793 821 817 819 797 Soft (ppv) 1050.2 1034.2 1069.5 1060.2 1058.6 1039.8 CTE (disk) 35.4 36.2 34.4 34 36.4 35.9 Density 2.603 2.603 2.577 2.62 2.594 2.574 Young's modulus 12.112 11.951 12.115 12.163 11.929 specific modulus 0 32.1 32 31.9 32.3 32 Viscosity 20 21 22 23 24 25 A −3.232 −2.868 −3.354 −3.061 −2.77 −3.044 B 7311.1 6597.4 7841.5 7095.3 6633.3 7080.4 To 370.6 398 326.5 388.7 408.9 365.7 200 poise 1692 1674 1713 1712 1717 1690 400 poise 1624 1604 1643 1642 1644 1620 35000 poise 1311 1288 1319 1322 1316 1299 Gradient boat 20 21 22 23 24 25 internal 1220 1205 1230 1225 1240 1220 internal viscosity 237339.4 202869.5 211361.6 264945.4 162685.9 175369.9 T(35 kp) - T(liq) 91 83 89 97 76 79 Example 26 27 28 29 30 31 SiO₂ 71.71 72.7 72.21 71.14 72.85 71.97 Al₂O₃ 11.24 11.38 11.62 11.27 11.37 12.02 B₂O₃ 0 0 0 0.91 0 0 MgO 5.95 3.88 5.24 5.68 4.85 4.98 CaO 5.5 5.74 5.47 5.46 5.73 6.23 SrO 1.03 2.83 1.2 1.1 0.92 2.15 BaO 4.38 3.31 4.09 4.27 4.13 2.49 SnO₂ 0.11 0.11 0.11 0.11 0.11 0.12 Fe₂O₃ 0.05 0.02 0.02 0.04 0.02 0.02 ZrO₂ 0.03 0.02 0.02 0.02 0.02 0.03 RO/Al₂O₃ 1.5 1.38 1.38 1.46 1.37 1.32 (RO − Al₂O₃)/(1 − B₂O₃/100) 5.62 4.38 4.38 5.29 4.26 3.83 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 82.95 84.08 83.83 83.17 84.22 83.99 MgO/(MgO + CaO + SrO + BaO) 0.35 0.25 0.33 0.34 0.31 0.31 Properties 26 27 28 29 30 31 Strain 755 761 764 740 760 766 Anneal 807 816 816 793 814 819 Soft (ppv) 1043 1056.7 1047.7 1033.1 1058.9 1056 CTE (disk) 38.2 37 36.2 Density 2.637 2.627 2.625 2.629 2.618 2.593 Young's modulus 12.099 12.052 12.062 11.947 12.006 12.299 specific modulus 31.6 31.6 31.7 31.3 31.6 32.7 Viscosity 26 27 28 29 30 31 A −2.927 −3.158 −3.245 −3 −2.577 −3.031 B 6767.8 7404.8 7464.1 6922.1 6367.7 7014.5 To 400.7 361.3 354.3 371.5 425.3 383.8 200 poise 1695 1718 1700 1677 1731 1699 400 poise 1625 1647 1631 1607 1655 1629 35000 poise 1307 1323 1313 1289 1320 1310 Gradient boat 26 27 28 29 30 31 internal 1200 1230 1200 1190 1210 1235 internal viscosity 346863.6 232274.4 381015.8 286454.5 345001.5 162076.1 T(35 kp) - T(liq) 107 93 113 99 110 75 Example 32 33 34 35 36 37 SiO₂ 71.66 70.82 72 74.05 72.8 72.83 Al₂O₃ 12.19 12.07 11.65 12.03 11.37 11.38 B₂O₃ 0 1 1.65 0 0 0 MgO 6.22 6.01 4.75 4.34 4.29 5.38 CaO 5.33 5.27 5.3 4.73 5.72 5.19 SrO 2.25 2.16 1.5 1.18 2.08 0.88 BaO 2.18 2.5 3 3.53 3.57 4.19 SnO₂ 0.12 0.12 0.12 0.11 0.11 0.11 Fe₂O₃ 0.02 0.02 0.03 0.01 0.02 0.02 ZrO₂ 0.02 0.03 0 0.02 0.02 0.02 RO/Al₂O₃ 1.31 1.32 1.25 1.15 1.38 1.37 (RO − Al₂O₃)/(1 − B₂O₃/100) 3.79 3.91 2.95 1.75 4.29 4.26 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 83.85 83.73 85.05 86.08 84.17 84.21 MgO/(MgO + CaO + SrO + BaO) 0.39 0.38 0.33 0.31 0.27 0.34 Properties 32 33 34 35 36 37 Strain 764 745 740 774 760 761 Anneal 816 799 794 830 814 815 Soft (ppv) 1049.4 1034 1034.9 1079 1057.4 1056.4 CTE (disk) 35.9 37 34.8 34.3 36.8 36.9 Density 2.591 2.59 2.582 2.58 2.622 2.621 Young's modulus 12.402 11.99 11.981 12.113 specific modulus 33 32 32 0 31.9 Viscosity 32 33 34 35 36 37 A −3.426 −3.2055 −2.778 −2.998 −3.145 −2.35 B 7613.4 7086.72 6477.2 7183 7387 5942.8 To 344.8 377.78 407.6 390.8 360.1 455.9 200 poise 1674 1665 1683 1746 1717 1734 400 poise 1608 1598 1612 1673 1645 1656 35000 poise 1300 1292 1292 1343 1321 1318 Gradient boat 32 33 34 35 36 37 internal 1230 1215 1200 1245 1210 1215 internal viscosity 149543.7 181587.2 248974.3 257654.5 352055.2 301123.4 T(35 kp) - T(liq) 70 77 92 98 111 103 Example 38 39 40 41 42 43 SiO₂ 71.6 72.61 72.31 71.69 72.31 71.27 Al₂O₃ 11.81 11.81 11.59 11.88 12.04 12.27 B₂O₃ 0 0 0 0 0 1.72 MgO 5.54 4.91 4.82 5.97 4.88 4.2 CaO 5.49 5.3 5.95 5.39 5.38 5.34 SrO 1.23 1.37 0.99 1.93 1.39 1.29 BaO 4.19 3.88 4.18 2.99 3.87 3.76 SnO₂ 0.11 0.12 0.11 0.11 0.11 0.12 Fe₂O₃ 0.02 0.01 0.02 0.02 0.01 0.01 ZrO₂ 0.02 0 0.02 0.02 0 0.02 RO/Al₂O₃ 1.39 1.31 1.38 1.37 1.29 1.19 (RO − Al₂O₃)/(1 − B₂O₃/100) 4.64 3.65 4.35 4.4 3.48 2.36 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 83.41 84.42 83.9 83.57 84.35 85 MgO/(MgO + CaO + SrO + BaO) 0.34 0.32 0.3 0.37 0.31 0.29 Properties 38 39 40 41 42 43 Strain 759 765 759 762 764 741 Anneal 811 819 813 814 818 794 Soft (ppv) 1049.2 1059.3 1055.6 1050.6 CTE (disk) 37.9 36.7 36.7 36.5 36.7 Density 2.632 2.624 2.627 2.612 2.617 Young's modulus 12.231 12.096 12.124 12.343 12.049 specific modulus 32 31.8 31.8 32.6 31.7 Viscosity 38 39 40 41 42 43 A −3.603 −3.326 −3.147 −3.062 −2.976 −2.8813 B 8091.9 7540.6 7223.2 6951.8 7088.4 6732.21 To 319.2 361.5 376.4 388.2 371.8 389.92 200 poise 1690 1702 1702 1684 1715 1689 400 poise 1623 1634 1633 1616 1643 1618 35000 poise 1312 1320 1316 1302 1314 1297 Gradient boat 38 39 40 41 42 43 internal 1220 1250 1200 1220 1200 1185 internal viscosity 239891.6 144839.8 420026.6 197486.7 382650.4 385510.9 T(35 kp) - T(liq) 92 70 116 82 114 112 Example 44 45 46 47 48 49 SiO₂ 72.03 72.3 71.58 72.23 72.47 72.09 Al₂O₃ 12.77 11.58 11.7 11.62 11.54 12.05 B₂O₃ 1.72 0 1.25 0 0 0 MgO 3.82 4.97 4.86 5.56 5.24 5.47 CaO 4.89 5.68 5.26 5.27 5.35 4.66 SrO 1.18 1.28 1.4 0.96 0.72 1.84 BaO 3.44 4.04 3.8 4.2 4.53 3.75 SnO₂ 0.12 0.11 0.13 0.11 0.11 0.1 Fe₂O₃ 0.01 0.02 0.02 0.02 0.02 0.01 ZrO₂ 0.02 0.02 0 0.02 0.02 0.02 RO/Al₂O₃ 1.04 1.38 1.31 1.38 1.37 1.3 (RO − Al₂O₃)/(1 − B₂O₃/100) 0.57 4.39 3.67 4.37 4.3 3.67 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 86.28 83.88 84.33 83.85 84.01 84.14 MgO/(MgO + CaO + SrO + BaO) 0.29 0.31 0.32 0.35 0.33 0.35 Properties 44 45 46 47 48 49 Strain 750 762 739 757 761 764 Anneal 803 816 794 810 814 818 Soft (ppv) 1055.1 1035.4 1050.4 1057.2 1047 CTE (disk) 35.1 37.2 37.2 36.6 36.6 37.2 Density 2.625 2.614 2.623 2.625 2.63 Young's modulus 12.086 11.984 12.124 12.194 specific modulus 31.7 31.6 31.9 32 Viscosity 44 45 46 47 48 49 A −3.2039 −3.224 −2.978 −3.099 −3.327 −3.085 B 7359.53 7477.8 6940.6 7233.1 7780 7131.02 To 369.45 353.2 371.6 364.2 323.7 379.69 200 poise 1706 1707 1686 1704 1706 1704 400 poise 1637 1637 1615 1633 1636 1634 35000 poise 1319 1316 1294 1311 1312 1314 Gradient boat 44 45 46 47 48 49 internal 1210 1200 1190 1210 1200 1235 internal viscosity 356215.2 404256.1 318195.5 283651.6 355826.3 178793.4 T(35 kp) - T(liq) 109 116 104 101 112 79 Example 50 51 52 53 54 55 SiO₂ 71.99 72.8 72.66 73.6 71.99 71.7 Al₂O₃ 12.5 11.38 11.43 11.38 11.55 12.49 B₂O₃ 0.5 0 0 0 1.64 1.25 MgO 4.75 5.12 5.15 4.73 4.68 4.75 CaO 5.1 5.33 4.8 5.1 5.42 5 SrO 1.3 1.14 2.22 1.32 1.97 2.35 BaO 3.7 4.08 3.58 3.74 2.61 2.25 SnO₂ 0.13 0.11 0.11 0.12 0.12 0.16 Fe₂O₃ 0.02 0.02 0.02 0.01 0.01 0.02 ZrO₂ 0 0.02 0.02 0 0 0.03 RO/Al₂O₃ 1.19 1.38 1.38 1.31 1.27 1.15 (RO − Al₂O₃)/(1 − B₂O₃/100) 2.36 4.29 4.32 3.51 3.18 1.88 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 84.91 84.18 84.09 84.98 84.93 85.26 MgO/(MgO + CaO + SrO + BaO) 0.32 0.33 0.33 0.32 0.32 0.33 Properties 50 51 52 53 54 55 Strain 762 761 762 765 742 749 Anneal 817 815 816 819 798 804 Soft (ppv) 1057.8 1058.3 1058.2 1060.3 1042.4 1043.7 CTE (disk) 34.9 35.5 36.9 35.8 35.1 34.2 Density 2.604 2.618 2.622 2.608 2.567 2.581 Young's modulus 12.12 12.03 12.099 12.025 11.921 specific modulus 32.1 31.7 31.8 31.8 32 0 Viscosity 50 51 52 53 54 55 A −3.098 −3.374 −3.181 −3.449 −2.907 −3.169 B 7091.4 7781.6 7401.1 7934.3 6863.9 7018.1 To 391.2 338.5 363.3 337.7 380.6 391 200 poise 1705 1710 1713 1718 1699 1674 400 poise 1635 1641 1643 1649 1627 1607 35000 poise 1319 1321 1321 1330 1302 1301 Gradient boat 50 51 52 53 54 55 internal 1210 1215 1210 1240 1230 1225 internal viscosity 365361.7 319181.5 363172.2 221012.5 149238.4 176192.7 T(35 kp) - T(liq) 109 106 111 90 72 76 Example 56 57 58 59 60 61 SiO₂ 72.47 72.75 72.71 71.85 70.99 72.83 Al₂O₃ 11.42 11.68 11.41 11.57 11.79 11.37 B₂O₃ 1 0 0 0 1.2 0 MgO 4.76 4.84 4.95 5.56 5.57 4.87 CaO 5.13 5.08 5.45 5.49 5.36 5.53 SrO 1.33 3.06 1.5 1.22 1.84 0.93 BaO 3.76 2.42 3.82 4.15 3.08 4.31 SnO₂ 0.12 0.12 0.11 0.11 0.11 0.11 Fe₂O₃ 0.01 0.02 0.02 0.02 0.02 0.02 ZrO₂ 0 0.02 0.02 0.02 0.03 0.02 RO/Al₂O₃ 1.31 1.32 1.38 1.42 1.34 1.38 (RO − Al₂O₃)/(1 − B₂O₃/100) 3.6 3.72 4.31 4.85 4.11 4.27 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 84.74 84.43 84.12 83.42 83.79 84.2 MgO/(MgO + CaO + SrO + BaO) 0.32 0.31 0.31 0.34 0.35 0.31 Properties 56 57 58 59 60 61 Strain 752 764 759 760 744 760 Anneal 809 818 814 813 796 814 Soft (ppv) 1058.2 1056.5 1055.8 1052.3 1034.1 1059.6 CTE (disk) 34.8 36.1 37.2 38.3 36.1 36.6 Density 2.595 2.598 2.62 2.628 2.6 2.621 Young's modulus 11.92 11.927 12.288 12.14 12.051 12.01 specific modulus 31.7 31.7 32.3 31.9 32 31.6 Viscosity 56 57 58 59 60 61 A −3.053 −3.214 −3.04 −3.017 −3.07 −3.315 B 7293.1 7452.5 7104.2 6965.6 7012.4 7912.6 To 358.8 357.5 382.9 390.6 370.9 314.4 200 poise 1721 1709 1713 1700 1676 1723 400 poise 1648 1639 1642 1630 1607 1652 35000 poise 1319 1318 1320 1312 1292 1321 Gradient boat 56 57 58 59 60 61 internal 1240 1235 1210 1210 1195 1210 internal viscosity 167235.2 190054.2 354232.1 304687.3 274891.6 331109 T(35 kp) - T(liq) 79 83 110 102 97 111 Example 62 63 64 65 66 67 SiO₂ 70.77 72.3 71.68 72.37 73.61 71.53 Al₂O₃ 11.9 11.84 12.13 12.12 12.08 11.9 B₂O₃ 1.06 0 0 0 0 1.35 MgO 6 5.01 5.71 4.92 4.51 4.37 CaO 5.34 5.58 5.63 5.66 4.85 5.36 SrO 1.89 2.1 2.17 2.75 1.26 1.38 BaO 2.87 3.01 2.52 2.02 3.56 3.97 SnO₂ 0.11 0.12 0.12 0.12 0.12 0.12 Fe₂O₃ 0.03 0.02 0.02 0.02 0.01 0.01 ZrO₂ 0.03 0.02 0.03 0.02 0 0.01 RO/Al₂O₃ 1.35 1.33 1.32 1.27 1.17 1.27 (RO − Al₂O₃)/(1 − B₂O₃/100) 4.24 3.86 3.9 3.23 2.1 3.22 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 83.56 84.14 83.81 84.49 85.69 84.57 MgO/(MgO + CaO + SrO + BaO) 0.37 0.32 0.36 0.32 0.32 0.29 Properties 62 63 64 65 66 67 Strain 742 766 758 767 776 745 Anneal 795 820 815 820 830 800 Soft (ppv) 1029.6 1057.6 1052.7 1059.5 1077.1 1043.5 CTE (disk) 36.3 35.9 36.1 36 35.8 37 Density 2.603 2.604 2.597 2.586 2.591 2.603 Young's modulus 12.136 12.137 12.308 12.258 12.165 11.92 specific modulus 32.1 32.1 32.7 32.7 32.4 31.6 Viscosity 62 63 64 65 66 67 A −3.035 −2.991 −3.143 −3.049 −3.566 −2.943 B 6870.8 7115.9 6986.1 7170.6 8149.3 6909.4 To 379.2 368.7 398.3 370.2 334.5 379.8 200 poise 1667 1713 1682 1710 1723 1697 400 poise 1598 1641 1614 1639 1656 1626 35000 poise 1286 1313 1307 1315 1339 1303 Gradient boat 62 63 64 65 66 67 internal 1205 1220 1220 1235 1265 1190 internal viscosity 192829.9 233272.2 228564.1 174834.9 155589.2 384607.5 T(35 kp) - T(liq) 81 93 87 80 74 113 Example 68 69 70 71 72 73 SiO₂ 71.76 72.75 70.78 71.47 72.9 71.8 Al₂O₃ 11.26 11.42 11.85 11.87 11.69 11.49 B₂O₃ 0 0 0.87 0 0 0 MgO 5.34 5.07 4.97 5.54 4.83 5.61 CaO 5.75 5.34 5.77 5.52 5.25 5.48 SrO 1.52 0.63 1.47 1.23 1.37 1.44 BaO 4.18 4.63 4.12 4.2 3.83 3.98 SnO₂ 0.16 0.11 0.14 0.11 0.12 0.16 Fe₂O₃ 0.02 0.02 0.02 0.02 0.01 0.02 ZrO₂ 0.02 0.02 0.02 0.03 0 0.02 RO/Al₂O₃ 1.49 1.37 1.38 1.39 1.31 1.44 (RO − Al₂O₃)/(1 − B₂O₃/100) 5.53 4.25 4.52 4.62 3.59 5.02 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 83.02 84.17 83.36 83.34 84.59 83.29 MgO/(MgO + CaO + SrO + BaO) 0.32 0.32 0.3 0.34 0.32 0.34 Properties 68 69 70 71 72 73 Strain 751 761 742 757 765 755 Anneal 805 815 797 810 819 808 Soft (ppv) 1046 1058.3 1040.1 1047.9 1048 CTE (disk) 39.5 37.3 38.7 37.8 36.1 38.6 Density 2.641 2.627 2.632 2.637 2.6 2.631 Young's modulus 12.013 12.237 12.124 specific modulus 31.5 32 32.2 Viscosity 68 69 70 71 72 73 A −3.1715 −2.639 −2.8291 −2.87 −2.887 −3.2947 B 7306.29 6448.7 6603.21 6677.3 6946 7613.94 To 355.18 421.2 398.09 404.8 391.2 333.99 200 poise 1690 1727 1685 1696 1730 1695 400 poise 1621 1652 1614 1625 1657 1625 35000 poise 1302 1319 1294 1305 1326 1305 Gradient boat 68 69 70 71 72 73 internal 1200 1200 1180 1230 1210 1210 internal viscosity 299805.3 437827.5 412928.1 166623.1 394590 249409.6 T(35 kp) - T(liq) 102 119 114 75 116 95 Example 74 75 76 77 78 79 SiO₂ 72.39 73.19 72.74 71.85 71.4 71.79 Al₂O₃ 12.32 11.54 11.38 10.79 11.71 11.53 B₂O₃ 0.5 0 0 0 1.55 1.55 MgO 4.68 4.81 5.18 5.44 4.86 4.8 CaO 5.03 5.19 5.25 5.89 5.38 5.3 SrO 1.28 1.34 0.04 1.55 1.93 1.9 BaO 3.65 3.79 5.26 4.27 3.05 3 SnO₂ 0.13 0.12 0.11 0.16 0.12 0.12 Fe₂O₃ 0.02 0.01 0.02 0.02 0.01 0.01 ZrO₂ 0 0 0.02 0.02 0 0 RO/Al₂O₃ 1.19 1.31 1.38 1.59 1.3 1.3 (RO − Al₂O₃)/(1 − B₂O₃/100) 2.33 3.59 4.35 6.36 3.57 3.52 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 85.14 84.73 84.12 82.64 84.42 84.63 MgO/(MgO + CaO + SrO + BaO) 0.32 0.32 0.33 0.32 0.32 0.32 Properties 74 75 76 77 78 79 Strain 762 770 760 748 743 742 Anneal 817 822 814 801 797 796 Soft (ppv) 1060.3 1068.8 1058.4 1043 1040 1041.7 CTE (disk) 35.8 35.7 36.5 39.8 35.6 34.9 Density 2.596 2.6 2.63 2.645 2.586 2.584 Young's modulus 12.046 12.039 11.954 11.937 11.918 specific modulus 32 31.9 31.3 31.8 31.8 Viscosity 74 75 76 77 78 79 A −3.115 −3.715 −3.007 −3.2794 −3.16 −3.089 B 7142 8889.8 7290.9 7568.49 7253.8 7373 To 393.1 251 346.7 329.91 358.9 332.6 200 poise 1712 1729 1720 1686 1687 1700 400 poise 1642 1658 1647 1617 1618 1628 35000 poise 1326 1327 1312 1297 1300 1299 Gradient boat 74 75 76 77 78 79 internal 1230 1235 1195 1205 1230 1220 internal viscosity 262346.3 208617 387007 234106.4 146951 165783.7 T(35 kp) - T(liq) 96 92 117 92 70 79 Example 80 81 82 83 84 85 SiO₂ 72.18 73.58 72.47 72.1 71.96 71.97 Al₂O₃ 12.2 11.77 11.46 12.05 12.02 11.58 B₂O₃ 0 0.5 0 0 0 0.84 MgO 4.91 4.48 5.34 5.47 4.98 4.68 CaO 5.52 4.81 5.3 5.16 5.23 5.47 SrO 2.07 1.22 0.37 1.34 2.15 1.39 BaO 2.96 3.49 4.9 3.75 3.49 3.9 SnO₂ 0.12 0.13 0.11 0.1 0.12 0.14 Fe₂O₃ 0.02 0.02 0.02 0.01 0.02 0.02 ZrO₂ 0.02 0 0.02 0.02 0.03 0.02 RO/Al₂O₃ 1.27 1.19 1.39 1.3 1.32 1.33 (RO − Al₂O₃)/(1 − B₂O₃/100) 3.26 2.24 4.45 3.67 3.83 3.89 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 84.38 85.78 83.93 84.15 83.98 84.26 MgO/(MgO + CaO + SrO + BaO) 0.32 0.32 0.34 0.35 0.31 0.3 Properties 80 81 82 83 84 85 Strain 767 766 761 764 766 748 Anneal 821 822 815 817 819 801 Soft (ppv) 1059 1073.2 1056.3 1046 1059.6 1050.8 CTE (disk) 35.7 33.7 37.3 37.3 37.1 38.6 Density 2.599 2.577 2.62 2.613 2.616 2.613 Young's modulus 12.162 11.981 11.948 12.202 specific modulus 32.3 32.1 31.4 32.2 Viscosity 80 81 82 83 84 85 A −2.943 −3.293 −3.344 −2.967 −3.087 −2.6835 B 6934.4 7631.6 7736.8 6855.99 7170.9 6479.42 To 388.4 359.5 336.1 403.9 369.3 412.79 200 poise 1711 1724 1707 1705 1700 1713 400 poise 1639 1654 1637 1635 1630 1639 35000 poise 1315 1333 1317 1317 1309 1309 Gradient boat 80 81 82 83 84 85 internal 1240 1245 1220 1220 1220 1195 internal viscosity 158412.7 211547.4 256464 271593.3 219994.1 398087.8 T(35 kp) - T(liq) 75 88 97 97 89 114 Example 86 87 88 89 90 91 SiO₂ 71.31 71.28 71.2 72.21 71.69 72.77 Al₂O₃ 11.86 12.27 12.13 11.56 11.89 11.38 B₂O₃ 1.35 1.72 0.5 0 1.25 0 MgO 5.21 4.19 6.03 5.43 4.85 5.56 CaO 5.35 5.34 5.28 5.36 5.11 3.86 SrO 2.01 1.29 2.17 0.74 1.45 3.09 BaO 2.76 3.76 2.52 4.55 3.6 3.19 SnO₂ 0.12 0.12 0.12 0.11 0.12 0.11 Fe₂O₃ 0.02 0.02 0.02 0.02 0.03 0.02 ZrO₂ 0.01 0.01 0.03 0.02 0 0.02 RO/Al₂O₃ 1.29 1.19 1.32 1.39 1.26 1.38 (RO − Al₂O₃)/(1 − B₂O₃/100) 3.52 2.35 3.89 4.52 3.16 4.32 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 84.31 85.01 83.75 83.77 84.64 84.15 MgO/(MgO + CaO + SrO + BaO) 0.34 0.29 0.38 0.34 0.32 0.35 Properties 86 87 88 89 90 91 Strain 745 743 750 759 740 762 Anneal 799 798 804 813 794 816 Soft (ppv) 1039.6 1044.9 1040 1055.3 1038.7 1059 CTE (disk) 35.7 34.8 37.7 36.2 36.2 36.3 Density 2.583 2.597 2.6 2.627 2.61 2.615 Young's modulus 12.246 11.874 12.085 12.033 12.076 specific modulus 32.7 31.5 31.7 31.8 31.8 Viscosity 86 87 88 89 90 91 A −2.812 −3.025 −3.1872 −3.18 −2.898 −3.169 B 6516.6 7014.5 7081.73 7409.1 6712.1 7419 To 413 375.5 377.63 357.2 392 360 200 poise 1688 1693 1668 1709 1683 1716 400 poise 1617 1622 1601 1639 1612 1646 35000 poise 1299 1302 1294 1316 1294 1322 Gradient boat 86 87 88 89 90 91 internal 1205 1185 1210 1220 1210 1225 internal viscosity 260633.5 436742.5 209272 255431.2 203002.4 255787.1 T(35 kp) - T(liq) 94 117 84 96 84 97 Example 92 93 94 95 96 97 SiO₂ 72.39 71.74 71.2 73.78 71.65 72.79 Al₂O₃ 11.55 11.37 11.91 11.88 12.18 12.14 B₂O₃ 0 0 1.65 0.63 0 0.5 MgO 5.05 5.83 4.81 4.3 6.07 4.62 CaO 5.48 5.48 5.58 4.64 5.49 4.95 SrO 1.66 1.08 2.03 1.16 2.34 1.26 BaO 3.72 4.32 2.69 3.46 2.11 3.59 SnO₂ 0.11 0.11 0.12 0.11 0.12 0.13 Fe₂O₃ 0.02 0.04 0.01 0.01 0.02 0.02 ZrO₂ 0.01 0.03 0 0.02 0.02 0 RO/Al₂O₃ 1.38 1.47 1.27 1.14 1.31 1.19 (RO − Al₂O₃)/(1 − B₂O₃/100) 4.36 5.34 3.25 1.69 3.83 2.29 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 83.94 83.11 84.5 86.2 83.83 85.36 MgO/(MgO + CaO + SrO + BaO) 0.32 0.35 0.32 0.32 0.38 0.32 Properties 92 93 94 95 96 97 Strain 760 753 741 763 765 764 Anneal 813 806 796 820 817 819 Soft (ppv) 1055.4 1044.7 1039.2 1070.2 1049.5 1062.7 CTE (disk) 36.9 37.8 36 34.3 36.1 34.9 Density 2.622 2.637 2.578 2.574 2.591 2.589 Young's modulus 12.164 12.119 11.97 11.988 12.446 12.04 specific modulus 32 31.7 32 32.1 33.1 32.1 Viscosity 92 93 94 95 96 97 A −3.214 −3.086 −2.964 −2.597 −3.309 −3.074 B 7473.4 7079.3 6900.9 6453.9 7354.2 7152.6 To 354.4 383.5 376.5 432.9 364.9 386.7 200 poise 1709 1698 1687 1751 1676 1717 400 poise 1639 1628 1616 1674 1609 1647 35000 poise 1318 1311 1296 1337 1301 1326 Gradient boat 92 93 94 95 96 97 internal 1215 1210 1210 1240 1225 1230 internal viscosity 295081.1 301575.6 206739.8 250845.8 174341.6 255669.6 T(35 kp) - T(liq) 103 101 86 97 76 96 Example 98 99 100 101 102 103 SiO₂ 72.33 71.5 71.5 71.06 70.87 71.13 Al₂O₃ 11.69 11.78 11.75 11.98 11.75 11.2 B₂O₃ 0 0.85 1.99 1.85 1.31 0.69 MgO 5.26 4.77 4.2 4.45 5.53 5.84 CaO 5.34 5.55 5.28 5.77 5.4 5.52 SrO 1.24 1.41 2.65 1.7 1.77 1.04 BaO 4 3.96 2.49 3.03 3.22 4.41 SnO₂ 0.11 0.14 0.12 0.12 0.11 0.11 Fe₂O₃ 0.01 0.02 0.01 0.01 0.02 0.05 ZrO₂ 0.02 0.02 0.01 0.01 0.02 0.02 RO/Al₂O₃ 1.36 1.33 1.24 1.25 1.35 1.5 (RO − Al₂O₃)/(1 − B₂O₃/100) 4.15 3.94 2.93 3.03 4.23 5.65 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 84.02 83.99 84.94 84.61 83.72 82.9 MgO/(MgO + CaO + SrO + BaO) 0.33 0.3 0.29 0.3 0.35 0.35 Properties 98 99 100 101 102 103 Strain 763 748 737 740 742 741 Anneal 816 800 793 794 794 793 Soft (ppv) 1056.4 1046.7 1037.9 1037.3 1032.8 1031.1 CTE (disk) 36.2 37.5 35.9 36 35.9 34.9 Density 2.621 2.62 2.574 2.58 2.601 2.633 Young's modulus 12.229 11.87 12.06 12.082 12.053 specific modulus 32.2 31.8 32.2 32 31.6 Viscosity 98 99 100 101 102 103 A −2.965 −2.7111 −2.963 −2.719 −2.756 −3.099 B 6904.9 6461.74 6934 6302.2 6435.6 7055.7 To 402 416 373.1 430.5 406.1 365.4 200 poise 1713 1705 1690 1686 1679 1672 400 poise 1642 1632 1619 1615 1607 1603 35000 poise 1322 1307 1297 1298 1288 1289 Gradient boat 98 99 100 101 102 103 internal 1220 1190 1200 1200 1190 1185 internal viscosity 299362.9 433911.6 264567.4 295796.8 284263.2 323378.8 T(35 kp) - T(liq) 102 117 97 98 98 104 Example 104 105 106 107 108 109 SiO₂ 71.52 73.74 71.43 73.55 72.18 71.34 Al₂O₃ 12.44 11.82 11.43 11.85 11.86 10.98 B₂O₃ 1.72 0 0 0.3 0 0 MgO 4.08 4.54 6.1 4.5 5.52 5.56 CaO 5.19 4.9 5.44 4.83 5.39 5.99 SrO 1.25 1.24 1.43 1.23 1.59 1.58 BaO 3.65 3.62 3.96 3.59 3.3 4.35 SnO₂ 0.12 0.11 0.16 0.11 0.11 0.16 Fe₂O₃ 0.01 0.01 0.02 0.01 0.02 0.02 ZrO₂ 0.02 0.02 0.02 0.02 0.02 0.02 RO/Al₂O₃ 1.14 1.21 1.48 1.19 1.33 1.59 (RO − Al₂O₃)/(1 − B₂O₃/100) 1.76 2.48 5.5 2.31 3.94 6.5 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 85.43 85.56 82.86 85.66 84.04 82.32 MgO/(MgO + CaO + SrO + BaO) 0.29 0.32 0.36 0.32 0.35 0.32 Properties 104 105 106 107 108 109 Strain 745 770 753 768 764 750 Anneal 798 825 806 823 816 802 Soft (ppv) 1071.1 1041 1071.7 1050.7 1039 CTE (disk) 36.4 35.9 38.2 35.7 36.7 40.1 Density 2.59 2.633 2.589 2.616 2.652 Young's modulus 12.047 12.037 12.292 specific modulus 32.1 32.1 32.4 Viscosity 104 105 106 107 108 109 A −3.3669 −3.093 −3.1455 −2.724 −2.405 −3.1246 B 7769.3 7315.2 7160.06 6678.5 5903.2 7195.68 To 322.18 375.6 372.38 418.1 457.3 356.84 200 poise 1693 1732 1687 1747 1712 1683 400 poise 1624 1660 1618 1672 1636 1613 35000 poise 1304 1333 1304 1337 1307 1295 Gradient boat 104 105 106 107 108 109 internal 1190 1235 1200 1250 1210 1190 internal viscosity 385268 262412.9 320542.7 201376.2 273967.9 325096.6 T(35 kp) - T(liq) 114 98 104 87 97 105 Example 110 111 112 113 114 115 SiO₂ 72.75 73.6 72.81 72.64 72.5 71.12 Al₂O₃ 11.41 11.74 11.38 11.37 11.87 11.82 B₂O₃ 0 0 0 0 0 2.01 MgO 4.92 4.62 4.93 5.27 4.91 4.45 CaO 5.54 4.98 5.46 5.07 5.33 5.93 SrO 1.17 1.29 1.37 3.3 1.39 2.25 BaO 4.06 3.64 3.9 2.2 3.87 2.26 SnO₂ 0.11 0.12 0.11 0.11 0.12 0.12 Fe₂O₃ 0.02 0.01 0.02 0.02 0.01 0.02 ZrO₂ 0.02 0 0.02 0.02 0 0.02 RO/Al₂O₃ 1.38 1.24 1.38 1.39 1.31 1.26 (RO − Al₂O₃)/(1 − B₂O₃/100) 4.28 2.79 4.28 4.47 3.63 3.13 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 84.16 85.34 84.19 84.01 84.37 84.64 MgO/(MgO + CaO + SrO + BaO) 0.31 0.32 0.31 0.33 0.32 0.3 Properties 110 111 112 113 114 115 Strain 760 772 760 760 765 735 Anneal 814 826 815 815 820 791 Soft (ppv) 1056.3 1071 1054.1 1056.4 1033.5 CTE (disk) 36.7 35.7 36.6 36.2 36 36.3 Density 2.622 2.599 2.62 2.599 2.601 2.568 Young's modulus 12.073 12.095 12.127 12.228 12.146 11.956 specific modulus 31.7 32.1 31.9 32.4 32.2 32.1 Viscosity 110 111 112 113 114 115 A −3.431 −3.385 −2.954 −3.608 −3.184 −3.086 B 7862.3 7779.3 6950.9 8438.4 7438.8 7014.9 To 335 357.4 394.2 282.4 357 375.4 200 poise 1707 1726 1717 1710 1713 1678 400 poise 1638 1657 1645 1641 1643 1609 35000 poise 1321 1339 1321 1318 1320 1295 Gradient boat 110 111 112 113 114 115 internal 1210 1250 1210 1240 1210 1210 internal viscosity 358497.2 213956.8 368424.2 159966.9 344152 208499.1 T(35 kp) - T(liq) 111 89 111 78 110 85 Example 116 117 118 119 120 121 SiO₂ 72.29 72.71 71.88 71.32 72.33 71.88 Al₂O₃ 11.87 11.48 11.47 11.64 11.55 11.97 B₂O₃ 0 0 0 0.85 0 0 MgO 4.92 4.95 5.66 4.87 5.05 5.74 CaO 5.67 5.39 5.46 5.67 5.49 5.36 SrO 2.62 1.46 1.12 1.44 1.52 1.89 BaO 2.46 3.82 4.24 4.05 3.9 3 SnO₂ 0.12 0.15 0.11 0.14 0.11 0.11 Fe₂O₃ 0.02 0.02 0.03 0.01 0.02 0.02 ZrO₂ 0.03 0.02 0.02 0 0.02 0.02 RO/Al₂O₃ 1.32 1.36 1.44 1.38 1.38 1.34 (RO − Al₂O₃)/(1 − B₂O₃/100) 3.8 4.14 5.01 4.43 4.41 4.02 (SiO₂ + Al₂O₃)/(1 − B₂O₃/100) 84.16 84.19 83.35 83.67 83.88 83.85 MgO/(MgO + CaO + SrO + BaO) 0.31 0.32 0.34 0.3 0.32 0.36 Properties 116 117 118 119 120 121 Strain 763 763 757 744 763 762 Anneal 818 817 810 798 814 814 Soft (ppv) 1057.3 1055.8 1049.1 1042.4 1055.7 1051.6 CTE (disk) 36 36.6 38.3 38.4 37.2 35.7 Density 2.598 2.613 2.634 2.624 2.623 2.608 Young's modulus 12.197 12.08 12.094 12.118 12.297 specific modulus 32.4 31.9 31.7 31.9 32.5 Viscosity 116 117 118 119 120 121 A −2.921 −3.036 −3.121 −2.745 −3.031 −2.606 B 6826.5 7156.8 7213.1 6495.63 7108.6 6152.6 To 395.7 373.8 367.2 406.26 378.9 446 200 poise 1703 1715 1698 1694 1712 1700 400 poise 1632 1643 1628 1621 1641 1627 35000 poise 1310 1318 1308 1297 1317 1306 Gradient boat 116 117 118 119 120 121 internal 1240 1210 1220 1185 1200 1225 internal viscosity 146014.6 333210 217339.1 394643.6 423068.6 195918.1 T(35 kp) - T(liq) 70 108 88 112 117 81

Various modifications and variations can be made to the materials, methods, and articles described herein. Other aspects of the materials, methods, and articles described herein will be apparent from consideration of the specification and practice of the materials, methods, and articles disclosed herein. It is intended that the specification and examples be considered as exemplary. 

What is claimed is:
 1. A glass comprising in mol percent on an oxide basis: 70≦SiO₂≦74.5 10.5≦Al₂O₃≦13.5 0≦B₂O₃≦2.5 3≦MgO≦7 3≦CaO≦7 0≦SrO≦4 1.5≦BaO≦6 0≦SnO₂≦0.3 0≦CeO₂≦0.3 0≦As₂O₃≦0.5 0.01≦Fe₂O₃≦0.08 F+Cl+Br≦0.4 wherein (SiO₂+Al₂O₃)/(1−B₂O₃/100)=86.97−0.713*(RO—Al₂O₃)/(1−B₂O₃/100)±0.8 where: (i) RO=MgO+CaO+SrO +BaO, and (ii) SiO₂, Al₂O₃, B₂O₃, MgO, CaO, SrO and BaO represent the mol percents of the representative oxide components.
 2. The glass of claim 1 wherein the glass has an anneal point greater than 785° C.
 3. The glass of claim 1 wherein the glass has an anneal point greater than 800° C.
 4. The glass of claim 1 wherein the glass comprises less than 0.05% by weight of As₂O₃, Sb₂O₃ or combinations thereof.
 5. The glass of claim 1 wherein the glass comprises less than 0.02% by weight of F, Cl, Br or combinations thereof.
 6. The glass of claim 1 wherein the glass comprises less than about 1000 ppm of alkali oxides.
 7. The glass of claim 1 wherein the glass comprises up to about 500 ppm ZrO₂.
 8. The glass of claim 1 wherein 0.29≦MgO/RO≦0.39.
 9. The glass of claim 1 wherein in mol percent on an oxide basis the glass satisfies the relationship: 0≦B₂O₃≦1.0.
 10. The glass of claim 1 wherein in mol percent on an oxide basis the glass satisfies the relationship: 0≦B₂O₃≦0.5.
 11. The glass of claim 1 wherein the glass is essentially free of B₂O₃.
 12. The glass of claim 1 wherein 1.05≦RO/Al₂O₃≦1.7.
 13. The glass of claim 1 wherein 0.2≦MgO/RO≦0.45.
 14. A glass comprising in mol percent on an oxide basis: 70≦SiO₂≦74.5 10.5≦Al₂O₃≦13.5 3≦MgO≦7 3≦CaO≦7 0≦SrO≦4 1.5≦BaO≦6 0≦SnO₂≦0.3 0≦CeO₂≦0.3 0≦As₂O₃≦0.5 0≦Sb₂O₃≦0.5 0.01≦Fe₂O₃≦0.08 F+Cl+Br≦0.4 wherein (a) 1.05≦RO/Al₂O₃≦1.7; (b) 0.2≦MgO/RO≦0.45; and (c) the glass is boron free; where: (i) RO=MgO+CaO+SrO+BaO, and (ii) SiO₂, Al₂O₃, B₂O₃, MgO, CaO, SrO and BaO represent the mol percents of the representative oxide components.
 15. The glass of claim 14 wherein the glass comprises less than 0.05% by weight of As₂O₃, Sb₂O₃ or combinations thereof.
 16. The glass of claim 14 wherein the glass comprises less than about 1000 ppm of alkali oxides.
 17. The glass of claim 14 wherein the glass comprises up to about 500 ppm ZrO₂.
 18. The glass of claim 14 wherein 0.29≦MgO/RO≦0.39.
 19. The glass of claim 14 wherein: (SiO₂+Al₂O₃)/(1−B₂O₃/100)=86.97−0.713*(RO—Al₂O₃)/(1−B₂O₃/100)±0.8.
 20. The glass of claim 14 wherein the glass has a liquidus viscosity of at least 130,000 poise. 